While in Prescott, Arizona, during Spring Break 2008, RoadHacker took pictures of the "Art for All" mural. RoadTripAmerica.com featured the mural on 29 March 2008. While looking at RTA's write-up on the mural, RoadHacker clicked on the hyperlink for RTA's featured funny sign. The funny sign was a picture of a gas station sign in Bellefontaine, Ohio, but in the background there was a road sign.

The signs say...

gas station sign +----------------+ | Regular 313^{9}| | Plus 323 | | Premium^{9}| +----------------+ road sign (partially blocked by a pole) +--------------------+ | XXntsville 5 | | XXssells Point 10 | | MaXXsville 25 | +--------------------+the numbers are: 313 9 323 9 5 10 25 the math is: sqrt(sqrt((323 - 313) * 9 - 9)) = (25 - 10) / 5 some fooish math: (9 / 9) * (323 - 313) = 25 - 10 - 5 more fooish math: 323 - 313 + 9 - 9 = 25 - 10 - 5 the road sign numbers are: 5 10 25 the road sign math is: 10 - 5 = sqrt(25) --- using functions from MathBabbler's BARS toolkit --- the gas sign numbers are: 313 9 323 9 observe... 313 is a palindromic prime [reverse_digits(313) = 313] multiply_digits(313) = 9 [3 * 1 * 3 = 9] 323 prime factors are 17 and 19 sum_prime_factors(323) = 36 [spf(323) = 17 + 19 = 36] the numbers become: 9 9 36 9 more math: sqrt(9) * 9 + 9 = 36 more math: (9 + sqrt(9)) * sqrt(9) = 36 more math: sqrt(9) * sqrt(9) - sqrt(9) = sqrt(36) more math: 9 + 9 / 9 = spf(36) [sum_prime_factors(36) = 2+2+3+3] [solve for 'n'] 323 - 313 + 9 - n = 25 - 10 - 5We looked at a map and determined that the pole obstructed road sign in Bellefontaine says the following.

+--------------------+ +--------------------+ | XXntsville 5 | | Huntsville 5 | | XXssells Point 10 | | Russells Point 10 | | MaXXsville 25 | | Marysville 25 | +--------------------+ +--------------------+ The highway to Marysville is US Hwy-33.

**Creator:** Gerald Thurman
[gthurman@gmail.com]

**Created:** 29 March 2008

This work is licensed under a Creative Commons Attribution 3.0 United States License.